What is the measure of an angle, in degrees, if its supplement is six times its complement?

Answer:

72 degrees.

Step-by-step explanation:

We can name the measure of the angle x.

We can name the measure of the complement of it y.

Note that complementary angles add up to 90 degrees and supplementary angles add up to 180 degrees.

Using this info, we can set up two equations.

x+y=90

x+6y=180

Subtract the first equation from the second to eliminate x. You can do both ways, but I prefer to keep the equation positive.

x+6y=180

-x -y   -90

5y=90

Divide both sides by 5.

y=18

The complement is 18, now we can plug that in to find x.

x+18=90

Subtract 18 from both sides.

x=72

The measure of the angle is 72 degrees.

Nancy is replacing the mat on her trampoline. The circular mat has a diameter of 18 feet. what is the area of the trampoline mat to the nearest square foot?


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Help me Guess just help pleaseeeeeeee

A store has apples on sale for $3.00 for 2 pounds. If an apple is approximately 5 ounces, how many apples can you buy for $24.00? Complete the explanation.

The cost per pound of the apples on sale is $___.
You can buy ____pounds of apples for $24.00.
Since 1 pound = 16 ounces, so there are about ___ apples in each pound.
You can buy approximately _____apples for $24.00.

Pls help, am offering 100 points

what is the answer to 8(x + 100) - 3 = 837

Please help me with this geometry question:((

ayo math peeps more help

Find the mean of the set of data. Use a calculator if necessary. (Remember to put the list in numerical order.)

15, 9, 11, 7, 5, 11, 26, 6

Mean is _____.

11.25
11.4
10
12.86

A tent in the shape of a triangular prism is made using the following piece of fabric. Find the surface area of the fabric. Explain your reasoning. (PLEASE HELP ME AND PLEASE SHOW YOUR WORK/REASONING)

Directions: Follow the instructions for the following inequalities.


1. 4 < 7 Multiply both sides by 3, then by 2, then by 4, then by 9


2. 11 > -2 Add 3 to both sides, then add 3, then add (-4)


3. -2 less than or equal to -2 Subtract 6 from both sides, then 8, and then 2


4. -4 < 8 Divide both sides by -4, then by -2


5. Write a short explanation of the effects of the above operations. Did this affect the inequality sign? Was it still true? Why or why not?

whats an outlier in math

Carl’s monthly bank statement showed the following deposits and withdrawals: -5.78, 23.67, -16.09, -18.76, 83.10. If Carl's balance in the account was $41.56 at the beginning of the month, what was the account balance at the end of the month?

(14-16). A new mattress at the Mattress Store cost $625. They are running a Christmas sale where I can save off the original price. Tax in Indiana is 7% ?

How much money did I save from the discount?

How much did I pay in tax?

What would be the final cost of the mattress after the discount and tax are applied?

This graph shows how much Marie earns babysitting, compared with the number of hours she works. Select the correct statement about the graph. A. for each hour she works , her earnings go up by $10 B. for each dollar she earns, the number of hours she works goes up by 10. C. for each hour she works, her earnings go up by $5 D. for every 5 hours she works, her earnings go up by $1

Which of the following is an Infinite two-dimensional figure?
O A. A plane
B. A polnt
O C. A segment
D. Allne
SUBMIT

Help Asap Pls Hurry I Will Give Brainliest!

The box plots below show the average daily temperatures in April and October for a U.S. city:



What can you tell about the means for these two months?

The mean for April is higher than October's mean.
There is no way of telling what the means are.
The low median for October pulls its mean below April's mean.
The high range for October pulls its mean above April's mean.

A fifteen passenger van is rented for a family vacation. The van rental is $75.00 per day, plus a $160.00 insurance fee. Which equation could be used to find x, the number of days the car be rented if they want to spend exactly $760.00 on the van rental?

A. 75.00 + 160.00x = 760.00
B. 75.00x – 160.00 = 760.00
C. 75.00 – 160.00x = 760.00
D. 75.00x + 160.00 = 760.00

(-3)to the 4th power < (-4)to the 3rd power or (-3)to the 4th power > (-4)to the 3rd power or (-3)to the 4th power = (-4)to the 3rd power

The graph shows the ratio of apples to oranges in the different fruit baskets that Keenan makes.
if Keenan makes a basket with 6 apples, what is the ratio of apples to oranges written as a fraction?

Please answer in square units and no fake answers

A factory can work its employees no more than 5 days a week, and no less than 2 days per
week. Create an inequality to represent the range of days an employee can work. Solve the
inequality to determine the range in hours. Show all of your work and explain each of your
steps. Explain your answer.

One winter day, the outside temperature, y, was never below −1°. The inside of a car was always warmer than the temperature outside by at least 4°. Which graph of a system of inequalities represents this scenario?


On a coordinate plane, 2 straight lines are shown. The first solid line is horizontal to the y-axis at y = negative 1. Everything above the line is shaded. The second dashed line has a positive slope and goes through (0, negative 4) and (2, negative 2). Everything below and to the right of the line is shaded.


On a coordinate plane, 2 straight lines are shown. The first solid line is horizontal to the y-axis at y = negative 1. Everything below the line is shaded. The second dashed line has a positive slope and goes through (0, negative 4) and (2, negative 2). Everything above and to the left of the line is shaded.


On a coordinate plane, 2 straight lines are shown. The first solid line is horizontal to the y-axis at y = negative 1. Everything above the line is shaded. The second solid line has a positive slope and goes through (0, negative 4) and (4, 0). Everything below and to the right of the line is shaded.


On a coordinate plane, 2 straight lines are shown. The first solid line is horizontal to the y-axis at y = negative 1. Everything below the line is shaded. The second solid line has a positive slope and goes through (0, negative 4) and (4, 0). Everything above and to the left of the line is shaded.

x-12-23+7.5=1 ; what is the value of x?

What is the angle made by the hour hand and the minute of the clock at 8:57

I WILL GIVE BRAINLIEST PLSSSSSSSS
1. A 100-point test has x questions worth 2 points apiece and y questions worth 4 points apiece.

a. Write an equation that describes all possible numbers of questions that may be on the test.

b. If you have 24 questions worth 4 points apiece, how many questions will be worth 2 points apiece?

2. Louise has $36 in five-dollar bills and singles. How many of each type of bill does she have?

a. Write an equation.

b. If Louse has 2 five-dollar bills, how many singles does she have?

3. The Ramy family bought 4 sandwiches and 3 salads. They spent $24. Let x be the cost of a sandwich

and y be the cost of a salad.

a. Write an equation.

b. If each sandwich costs $3.75, how much did each salad cost?

4. The store at which Andy usually shops is having a sale. Roast beef costs $4 a pound and shrimp costs

$10 a pound.

a. Write an equation to describe different possible combinations of Roast beef and shrimp that he can

buy for $96.

b) What is the greatest amount of shrimp he can buy?

5. It will take 20 points to make the playoffs, the hockey team coach told the players. “We get 2 points

for a win and 1 point for a tie.” Let W be the number of wins and T the number of ties.

a. Write an equation to describe the values of W and T that will let the team make the playoffs.

b. If the team wins 7 games, how many tie games will need to occur?

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HELP PLS I BEG OF U-

20 points! This is not apart of game show i just need help!
)

The family likes peaches and other fruits. The local farmer’s market is selling fresh peaches at a discounted price. If the farmer’s market sold 35% of its produce and has 280 peaches remaining, how many peaches did it originally have on hand? Show all your work and explain how you used equivalent ratios to solve the problem. (2 points)

Six cell phones weigh 46.2 ounces. Fourteen cell phones weigh 107.8 ounces. Select all the true statements.


This does not represent a proportional relationship.


This represents a proportional relationship.


The ratios are equivalent.


The ratios are not equivalent.


The constant of proportionality is 7.7.

Given -4 1/6 x-3.15 determine the product